From the 1 of 18 linked papers with an AI index.
18 papers
A Least-Squares Weak Galerkin Method for the Biharmonic Cauchy Problem
Chunmei Wang, Shangyou Zhang
We develop a least-squares weak Galerkin (LS-WG) finite element method for the Cauchy problem of the biharmonic equation. The proposed approach reformulates the fourth-order equati…
A Least Squares Weak Galerkin Framework for Linear Elasticity on Polytopal Meshes
Chunmei Wang, Shangyou Zhang
This paper develops and analyzes a least-squares weak Galerkin (LS-WG) finite element method for linear elasticity. By employing weak differential operators, specifically the weak…
A Least Squares Weak Galerkin Finite Element Method for Fokker-Planck Type Equations
Chunmei Wang, Shangyou Zhang
The paper introduces a least‑squares weak Galerkin finite element method for solving second‑order elliptic Fokker‑Planck type equations, providing a symmetric positive‑definite dis…
Solving the Stokes Equations via a Least Squares Weak Galerkin Method
Chunmei Wang, Shangyou Zhang
We present a least-squares weak Galerkin (LS-WG) finite element method for solving the Stokes equations on arbitrary polygonal and polyhedral meshes. By utilizing discrete weak der…
A Least-Squares Weak Galerkin Finite Element Scheme for Cauchy Problems in Helmholtz
Chunmei Wang, Shangyou Zhang
This paper introduces and rigorously analyzes a least-squares weak Galerkin (LS-WG) finite element method for the severely ill-posed Cauchy problem associated with the Helmholtz eq…
A Least-Squares Weak Galerkin Finite Element Scheme for Cauchy Problems in Convection--Diffusion
Chunmei Wang, Shangyou Zhang
We introduce and rigorously analyze a least-squares weak Galerkin (LS-WG) finite element method for the severely ill-posed Cauchy problem of convection--diffusion equations. The pr…